1. What does it mean when we say that in blockchain, consensus determines the truth?
In a Blcokchain the majority of all full nodes has to confirm a new Block. Therefore all full nodes compare thier ledger with the new information. If they can agree this new information, they accept it and put it as a new block to thier existing ledger.
2. How is this different from how truth is determined in a central database?
In a central database the truth is determined by an authority and all users have to trust thier informaiton.